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Finding the Third Proportional to 244,081 and 506,608

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Solution

The third proportional to 244,081 and 506,608 is: 1,051,502.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,081 : 506,608 = 506,608 : x
  2. Step 2: Convert to fraction form
    244,081/506,608 = 506,608/x
  3. Step 3: Cross multiply
    244,081x = 506,608 × 506,608
  4. Step 4: Simplify right side
    244,081x = 256,651,665,664
  5. Step 5: Solve for x
    x = 256,651,665,664/244,081
  6. Step 6: Final answer
    x = 1,051,502.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.